use graph paper to find the resultant of each set of displacements in the following problems. 45 km due east, the 45 km due north, and then 45 km due east

Vectors A treasure map shows a path from the hanging tree to walk to find the buried treasure. It reads to start at the hanging tree and north 7.5 meters. The map then says to turn and walk 9.8 meters at 30 degrees north of east, then walk south 1.4 meters, and finally walk west 38.0 meters. Once at this position, the map says to turn east and walk 14.0 more meters, then turn north and walk 12.0 more meters, and finally to turn due west and walk 6.0 meters. There you will find the treasure!(a) Being a physicist, you want to get rid of all the steps and walk right to the treasure. What is the magnitude of the displacement you would walk if you walked directly to the treasure alongthe line of the resultant?

Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 101 m at an angle 30.0° north of east, and finally moves 184 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) Cave entrance W S E Final position What is the resultant displacement from the entrance? magnitude direction m ° south of east

A vector has a horizontal component of -21 and vertical component of 46, what is the magnitude of this vector? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.